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Finding the Fourth Proportional to 2,071.52, 3,130.76 and 2,035.68

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Solution

The fourth proportional to 2,071.52, 3,130.76 and 2,035.68 is: 3,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.52 : 3,130.76 = 2,035.68 : x
  2. Step 2: Convert to fraction form
    2,071.52/3,130.76 = 2,035.68/x
  3. Step 3: Cross multiply
    2,071.52x = 3,130.76 × 2,035.68
  4. Step 4: Simplify right side
    2,071.52x = 6,373,225.52
  5. Step 5: Solve for x
    x = 6,373,225.52/2,071.52
  6. Step 6: Final answer
    x = 3,076.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.